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Finding the Fourth Proportional to 10,672.80, 16,009.20 and 10,126.05

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Solution

The fourth proportional to 10,672.80, 16,009.20 and 10,126.05 is: 15,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.80 : 16,009.20 = 10,126.05 : x
  2. Step 2: Convert to fraction form
    10,672.80/16,009.20 = 10,126.05/x
  3. Step 3: Cross multiply
    10,672.80x = 16,009.20 × 10,126.05
  4. Step 4: Simplify right side
    10,672.80x = 162,109,959.66
  5. Step 5: Solve for x
    x = 162,109,959.66/10,672.80
  6. Step 6: Final answer
    x = 15,189.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.